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233982048 = 2533178623
BaseRepresentation
bin11011111001001…
…00100001100000
3121022021112000210
431330210201200
5434344411143
635115014120
75540546256
oct1574444140
9538245023
10233982048
111100931a3
126643a340
1339624921
142310a5d6
151581d033
hexdf24860

233982048 has 48 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 75477120.

The previous prime is 233982029. The next prime is 233982071. The reversal of 233982048 is 840289332.

233982048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 233981997 and 233982015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36336 + ... + 42287.

It is an arithmetic number, because the mean of its divisors is an integer number (13208832).

Almost surely, 2233982048 is an apocalyptic number.

It is an amenable number.

233982048 is an abundant number, since it is smaller than the sum of its proper divisors (400041888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233982048 is a wasteful number, since it uses less digits than its factorization.

233982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78667 (or 78659 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 233982048 is about 15296.4717500475. The cubic root of 233982048 is about 616.2082558911.

The spelling of 233982048 in words is "two hundred thirty-three million, nine hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 78623 157246 235869 314492 471738 628984 943476 1257968 1886952 2437313 2515936 3773904 4874626 7311939 7547808 9749252 14623878 19498504 29247756 38997008 58495512 77994016 116991024 233982048